For the continuous beam shown in the figure, determine the reactions at the supports, using the Force Method, then draw the shear and moment diagrams.

First determine primary structure and the redundant force $($choose $Ay$ as the redundant force$).$

Write compatibility equation.

Draw moment diagrams for primary structure and redundant force applied case.

Find the displacements in the compatibility equation using Virtual Work Method and the Integration Table.

Obtain the redundant force and other support reactions.

Draw the shear and moment diagrams of actual structure.

The moment of inertia for each segment is shown on the figure. Assume A and $C$ are rollers and $B$ is a pin. Take $E=200$GPa. $(50p)$bu